456197704368 has 240 divisors, whose sum is σ = 1403136193536. Its totient is φ = 127301690880.

The previous prime is 456197704337. The next prime is 456197704399. The reversal of 456197704368 is 863407791654.

It is an interprime number because it is at equal distance from previous prime (456197704337) and next prime (456197704399).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27790083 + ... + 27806493.

Almost surely, 2^456197704368 is an apocalyptic number.

456197704368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456197704368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701568096768).

456197704368 is an abundant number, since it is smaller than the sum of its proper divisors (946938489168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456197704368 is a wasteful number, since it uses less digits than its factorization.

456197704368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16712 (or 16699 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 456197704368 in words is "four hundred fifty-six billion, one hundred ninety-seven million, seven hundred four thousand, three hundred sixty-eight".